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Finding the Third Proportional to 394,103 and 611,486

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Solution

The third proportional to 394,103 and 611,486 is: 948,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,103 : 611,486 = 611,486 : x
  2. Step 2: Convert to fraction form
    394,103/611,486 = 611,486/x
  3. Step 3: Cross multiply
    394,103x = 611,486 × 611,486
  4. Step 4: Simplify right side
    394,103x = 373,915,128,196
  5. Step 5: Solve for x
    x = 373,915,128,196/394,103
  6. Step 6: Final answer
    x = 948,775.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.